Finite temperature one-point functions in non-diagonal integrable field theories: the sine-Gordon model

Abstract

We study the finite-temperature expectation values of exponential fields in the sine-Gordon model. Using finite-volume regularization, we give a low-temperature expansion of such quantities in terms of the connected diagonal matrix elements, for which we provide explicit formulas. For special values of the exponent, computations by other methods are available and used to validate our findings. Our results can also be interpreted as a further support for a previous conjecture about the connection between finite- and infinite-volume form factors valid up to terms exponentially decaying in the volume.

24 pages, 15 figures

References in corpus (5)

• Form factors in finite volume II:disconnected terms and finite temperature correlators
• Form factors in finite volume I: form factor bootstrap and truncated conformal space
• Finite-temperature lineshapes in gapped quantum spin chains
• Form factor expansion for thermal correlators
• Sine-Gordon form factors in finite volume

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• Exact mapping from the $(3+1)$-dimensional Skyrme model to the $(1+1)$-dimensional sine-Gordon theory and some applications
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• Confinement-Higgs Phase Crossover as a Lattice Artifact in 1+1 Dimensions